Open AccessApproximate analytical solutions of MHD viscous flow
Author(s) -
Vishwanath B. Awati
Publication year - 2016
Publication title -
journal of naval architecture and marine engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.164
H-Index - 10
eISSN - 2070-8998
pISSN - 1813-8535
DOI - 10.3329/jname.v13i1.24387
Subject(s) - magnetohydrodynamic drive , magnetohydrodynamics , partial differential equation , ordinary differential equation , nonlinear system , mathematical analysis , boundary layer , flow (mathematics) , physics , ode , boundary value problem , matrix similarity , differential equation , mathematics , mechanics , plasma , quantum mechanics
The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet caused by boundary layer of an incompressible viscous flow. The governing three partial differential equations of momentum equations are reduced into ordinary differential equation (ODE) by using a classical similarity transformation along with appropriate boundary conditions. Both nonlinearity and infinite interval demand novel mathematical tools for their analysis. We use fast converging Dirichlet series and Method of stretching of variables for the solution of these nonlinear differential equations. These methods have the advantages over pure numerical methods for obtaining the derived quantities accurately for various values of the parameters involved at a stretch and also they are valid in much larger parameter domain as compared with HAM, HPM, ADM and the classical numerical schemes.